1 / 8

Understanding Gradients in Different Coordinates Systems

Explore gradients in Cartesian, cylindrical, and spherical coordinates systems. Learn about directional derivatives and the Laplacian operator.

rlaura
Download Presentation

Understanding Gradients in Different Coordinates Systems

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 16.360 Lecture 16 Gradient in Cartesian Coordinates Gradient: differential change of a scalar The direction of is along the maximum increase of T.

  2. 16.360 Lecture 16 Example of Gradient in Cartesian Coordinates Find the directional derivative of along the direction and evaluate it at (1, -1,2).

  3. 16.360 Lecture 16 Gradient operator in cylindrical Coordinates

  4. z y x 16.360 Lecture 16 Gradient operator in cylindrical Coordinates

  5. 16.360 Lecture 16 Gradient operator in Spherical Coordinates

  6. 16.360 Lecture 16 Properties of the Gradient operator

  7. 16.360 Lecture 18 Laplacian Operator of a scalar

  8. 16.360 Lecture 18 Laplacian Operator of a vector

More Related